8
Equation of line: y = x+5 Equation of circle: x^2 +4x +y^2 -18y +59 = 0 The line intersects the circle at: (-1, 4) and (3, 8) Midpoint of line (1, 6) Slope of line: 1 Perpendicular slope: -1 Perpendicular bisector equation: y-6 = -1(x-1) => y = -x+7 Perpendicular bisector equation in its general form: x+y-7 = 0
Points: (3, 4) and (0, 0)Slope: (4-0)/(3-0) = 4/3Equation: y-4 = 4/3(x-3) => 3y = 4xPerpendicular slope: -3/4Midpoint: (3+0)/2 and (4+0)/2 = (1.5, 2)Bisector equation: y-2 = -3/4(x-1.5) => 4y = -3x+12.5
If: y = 5x +10 and y = x^2 +4 Then: x^2 +4 = 5x +10 Transposing terms: x^2 -5x -6 = 0 Factorizing the above: (x-6)(X+1) = 0 meaning x = 6 or x = -1 Therefore by substitution endpoints of the line are at: (6, 40) and (-1, 5) Midpoint of line: (2.5, 22.5) Slope of line: 5 Perpendicular slope: -1/5 Perpendicular bisector equation: y-22.5 = -1/5(x-2.25) => 5y = -x+114.75 Perpendicular bisector equation in its general form: x+5y-114.75 = 0
A spanning tree is a tree associated with a network. All the nodes of the graph appear on the tree once. A minimum spanning tree is a spanning tree organized so that the total edge weight between nodes is minimized.
The bridge was spanning the vast opening over the river.
yes, but a shortest path tree, not a minimum spanning tree
bridging different regions,in imperial pan regional there spanning of diverse regions
No of spanning trees in a complete graph Kn is given by n^(n-2) so for 5 labelled vertices no of spanning trees 125
STP (Spanning Tree Protocol) is still referred to as STP. However, there are newer variations of STP such as Rapid Spanning Tree Protocol (RSTP) and Multiple Spanning Tree Protocol (MSTP).
Post and lintel is the most basic architectural technique for spanning space.
The port will rapidly transition to forwarding.
Minimum spanning trees can be found using algorithms like Prim's algorithm or Kruskal's algorithm. These algorithms work by starting with an empty spanning tree and iteratively adding edges with the smallest weights until all vertices are connected. The resulting tree will have the minimum total weight possible.